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Finding the Fourth Proportional to 550.61, 829.11 and 397.58

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Solution

The fourth proportional to 550.61, 829.11 and 397.58 is: 598.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.61 : 829.11 = 397.58 : x
  2. Step 2: Convert to fraction form
    550.61/829.11 = 397.58/x
  3. Step 3: Cross multiply
    550.61x = 829.11 × 397.58
  4. Step 4: Simplify right side
    550.61x = 329,637.55
  5. Step 5: Solve for x
    x = 329,637.55/550.61
  6. Step 6: Final answer
    x = 598.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.